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Finding the Fourth Proportional to 882.78, 1,323.86 and 266.33

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Solution

The fourth proportional to 882.78, 1,323.86 and 266.33 is: 399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.78 : 1,323.86 = 266.33 : x
  2. Step 2: Convert to fraction form
    882.78/1,323.86 = 266.33/x
  3. Step 3: Cross multiply
    882.78x = 1,323.86 × 266.33
  4. Step 4: Simplify right side
    882.78x = 352,575.68
  5. Step 5: Solve for x
    x = 352,575.68/882.78
  6. Step 6: Final answer
    x = 399.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.